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Finding the Third Proportional to 8,211 and 13,720.50

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Solution

The third proportional to 8,211 and 13,720.50 is: 22,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 13,720.50 = 13,720.50 : x
  2. Step 2: Convert to fraction form
    8,211/13,720.50 = 13,720.50/x
  3. Step 3: Cross multiply
    8,211x = 13,720.50 × 13,720.50
  4. Step 4: Simplify right side
    8,211x = 188,252,120.25
  5. Step 5: Solve for x
    x = 188,252,120.25/8,211
  6. Step 6: Final answer
    x = 22,926.82

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.